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Finding the Fourth Proportional to 232,047.84, 320,284.08 and 142,572

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Solution

The fourth proportional to 232,047.84, 320,284.08 and 142,572 is: 196,785.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,047.84 : 320,284.08 = 142,572 : x
  2. Step 2: Convert to fraction form
    232,047.84/320,284.08 = 142,572/x
  3. Step 3: Cross multiply
    232,047.84x = 320,284.08 × 142,572
  4. Step 4: Simplify right side
    232,047.84x = 45,663,541,853.76
  5. Step 5: Solve for x
    x = 45,663,541,853.76/232,047.84
  6. Step 6: Final answer
    x = 196,785.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.